Finite Math Examples

$\frac{5000000}{7000} = (1 + x)$

Step 1

Rewrite the equation as $1 + x = \frac{5000000}{7000}$ .

$1 + x = \frac{5000000}{7000}$

Step 2

Cancel the common factor of $5000000$ and $7000$ .

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Step 2.1

Factor $1000$ out of $5000000$ .

$1 + x = \frac{1000 (5000)}{7000}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $1000$ out of $7000$ .

$1 + x = \frac{1000 \cdot 5000}{1000 \cdot 7}$

Step 2.2.2

Cancel the common factor.

$1 + x = \frac{1000 \cdot 5000}{1000 \cdot 7}$

Step 2.2.3

Rewrite the expression.

$1 + x = \frac{5000}{7}$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Subtract $1$ from both sides of the equation.

$x = \frac{5000}{7} - 1$

Step 3.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$x = \frac{5000}{7} - 1 \cdot \frac{7}{7}$

Step 3.3

Combine $- 1$ and $\frac{7}{7}$ .

$x = \frac{5000}{7} + \frac{- 1 \cdot 7}{7}$

Step 3.4

Combine the numerators over the common denominator.

$x = \frac{5000 - 1 \cdot 7}{7}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 1$ by $7$ .

$x = \frac{5000 - 7}{7}$

Step 3.5.2

Subtract $7$ from $5000$ .

$x = \frac{4993}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{4993}{7}$

Decimal Form:

$x = 713.28571428 \dots$

Mixed Number Form:

$x = 713 \frac{2}{7}$